TV watching and the birth rate The figure shows recent data on x = the number of televisions per 100 people and y = the birth rate (number of births per 1000 people) for six African and Asian nations. The regression line,
- a. Does the U.S. observation appear to be (i) an outlier on x, (ii) an outlier on y, or (iii) a regression outlier relative to the regression line for the other six observations?
- b. State the two conditions under which a single point can have a dramatic effect on the slope and show that they apply here.
- c. This one point also drastically affects the
correlation , which is r = –0.051 without the United States but r = –0.935 with the United States. Explain why you would conclude that the association between birth rate and number of televisions is (i) very weak without the U.S. point and (ii) very strong with the U.S. point. - d. Explain why the U.S. residual for the line fitted using that point is very small. This shows that a point can be influential even if its residual is not large.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
- What is regression analysis? Describe the process of performing regression analysis on a graphing utility.arrow_forwardIf you travel 100 miles in two hours, then your average speed for the trip is Average speed=_________=________arrow_forwardDoes Table 2 represent a linear function? If so, finda linear equation that models the data.arrow_forward
- A random sample of beef hotdogs was taken and the amount of sodium (in mg) and calories were measured. The data are in the table. Create a scatter plot and find a regression equation between amount of calories and amount of sodium. Then use the regression equation to find the amount of sodium a beef hotdog has if it is 138 calories and if it is 100 calories. Which sodium level that you calculated do you think is closer to the true sodium level? Why? Calories and Sodium Levels in Beef Hotdogs Calories Sodium 181 477 114 296 184 440 164 495 149 374 180 526 137 251 170 482 133 350 Select the correct scatterplot. 500 400 440 420 400 340 300 200 124010 15 120 125 18015 140 145 150 155 100 45 170 175 Jao Jas I80 4p. 500 400 440 420 400 300 340 300 200 I4oio is 120 125 180 135 140 J45 J50 153 100 165 170o 500 400 440 420 400 300 340 320 300 220 200 1240lio is 120 125 180 1 140 145 150 155 100 165 170 175 Jao Jas J0 4s. The regression equation is y= decimal places if necessary.) (Round to two…arrow_forwardDefine the different ways to use linear regression?arrow_forwardDescribe about the three positive relationships of Scatterplots?arrow_forward
- The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1xy^=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 78, 62, 75, 99, 80, 83, 74, 93, 80, 73 Grades on Final Exam 77, 78, 71, 95, 72, 84, 79, 84, 73, 80arrow_forwardUsing the data below, determine the value of the slope B, in the linear regression line ŷ = B, + B1x. Give your answer to three decimal places. 2Ti = 1079, 4 = 1100, } = 67070 u? = 74908, C;Yi = 67546, n = 20arrow_forwardplease asnwer 17. A study was conducted between year (x) and animal population (y). It was found there was a linear correlation, and the best-le regression line was given by y + 69x = 130 What can be estimated based on this equation? Every following year, the animal population decreases by 69. Every following year, the animal population increases by 130. Every following year, the animal population decreases by 130. Every following year, the animal population increases by 69.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning